Mathematics – Differential Geometry
Scientific paper
1998-01-07
J. Geom. Physics, 26 (1998), 340-379
Mathematics
Differential Geometry
AmSTeX, 37 pages
Scientific paper
10.1016/S0393-0440(97)00063-6
Lie bialgebra structures are reviewed and investigated in terms of the double
Lie algebra, of Manin- and Gau{\ss}-decompositions. The standard R-matrix in a
Manin decomposition then gives rise to several Poisson structures on the
correponding double group, which is investigated in great detail.
Alekseevsky Dmitri
Grabowski Jacek
Marmo Giuseppe
Michor Peter W.
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